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Problemy Peredachi Informatsii, 1998, Volume 34, Issue 1, Pages 56–68 (Mi ppi395)  

This article is cited in 5 scientific papers (total in 6 papers)

Methods of Signal Processing

Minimax Detection of a Signal for Besov Bodies and Balls

Yu. I. Ingster, I. A. Suslina
References:
Abstract: We consider an asymptotical minimax problem of detection of a signal from functional sets corresponding to the Besov balls $B^\sigma_{p,q}(C)$ or Besov bodies $\Theta^s_{p,q}(C)$ with a remote $L_2$-ball, the signal being observed in the Gaussian white noise of intensity $\varepsilon>0$, $\sigma>0$, $s=\sigma-1/p+1/2>0$. For the case of Besov bodies, for $q\geq p$ or $\min(p,q)\geq 2$, asymptotically exact estimates of the minimax probability of the detection errors are obtained, while for other cases and Besov balls, asymptotically exact conditions of the minimax distinguishability are found.
Received: 09.10.1995
Revised: 17.11.1997
Bibliographic databases:
Document Type: Article
UDC: 621.391.1
Language: Russian
Citation: Yu. I. Ingster, I. A. Suslina, “Minimax Detection of a Signal for Besov Bodies and Balls”, Probl. Peredachi Inf., 34:1 (1998), 56–68; Problems Inform. Transmission, 34:1 (1998), 48–59
Citation in format AMSBIB
\Bibitem{IngSus98}
\by Yu.~I.~Ingster, I.~A.~Suslina
\paper Minimax Detection of a~Signal for Besov Bodies and Balls
\jour Probl. Peredachi Inf.
\yr 1998
\vol 34
\issue 1
\pages 56--68
\mathnet{http://mi.mathnet.ru/ppi395}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1654822}
\zmath{https://zbmath.org/?q=an:1113.94303}
\transl
\jour Problems Inform. Transmission
\yr 1998
\vol 34
\issue 1
\pages 48--59
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  • https://www.mathnet.ru/eng/ppi/v34/i1/p56
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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